1) In a linear relationship, the dependent variable changes as the independent variable changes. As the x variable (independent variable) increases or decreases, so does the y variable. That is a linear relationship. Example- This is a linear relationship because as x increases by 1, y increases by 2. They both increase at a steady rate, which makes it linear.
x y
0 0
1 2
2 4
3 6
4 8
5 10

2) The pattern of change for a linear relationship shows up in a table, a graph, and an equation.
Table- The pattern shows up when y goes up or down at a constant rate while x does also.
Graph- The pattern shows up when the line is straight.
Equation- The pattern shows up in an equation when the equation works for all numbers and they come out in a constant rate.